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Finding the Fourth Proportional to 3,842.18, 5,300.04 and 2,661.20

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Solution

The fourth proportional to 3,842.18, 5,300.04 and 2,661.20 is: 3,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.18 : 5,300.04 = 2,661.20 : x
  2. Step 2: Convert to fraction form
    3,842.18/5,300.04 = 2,661.20/x
  3. Step 3: Cross multiply
    3,842.18x = 5,300.04 × 2,661.20
  4. Step 4: Simplify right side
    3,842.18x = 14,104,466.45
  5. Step 5: Solve for x
    x = 14,104,466.45/3,842.18
  6. Step 6: Final answer
    x = 3,670.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.